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1. |
Find the coordinates of the vertex of the graph of the equation
y = -3x2 - 12x - 5. |
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A. |
(2, -41) |
B. |
(-4, -5) |
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C. |
(1, -20) |
D. |
(-2, 7) |
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Hint |
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2. |
The vertex of the graph of the equation y = -x2 + 6x + 1 is |
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A. |
both a maximum and a minimum |
B. |
a minimum |
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C. |
neither a maximum nor a minimum |
D. |
a maximum |
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Hint |
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3. |
The equation x2 + 1 = -3x does not have integral roots. State the consecutive integers between which the roots lie. |
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A. |
between 0 and 1 and between 2 and 3 |
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B. |
between -3 and -2 and between 0 and 1 |
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C. |
between -3 and -2 and between -1 and 0 |
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D. |
between -1 and 0 and between 0 and 1 |
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Hint |
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4. |
Use the quadratic formula to solve 6x2 - x - 1 = 0. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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5. |
The Mendoza family just bought a house for $180,000. If the value of the house increases at a rate of 3% per year, about how much will it be worth in 10 years? |
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A. |
$242,000 |
B. |
$258,000 |
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C. |
$250,000 |
D. |
$234,000 |
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Hint |
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6. |
Solve a2 - a - 20 = 0 by completing the square. |
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A. |
-4, 5 |
B. |
 |
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C. |
-5, 4 |
D. |
 |
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Hint |
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7. |
The sum of two numbers is 12, and the product of the numbers is 36. What are the numbers? |
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A. |
7 and 5 |
B. |
6 and 6 |
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C. |
6 and 9 |
D. |
9 and 4 |
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Hint |
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8. |
Solve x2 – 16x – 17 = 0 by completing the square. |
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A. |
{1, 13} |
B. |
{–1, 17} |
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C. |
{–1, 13} |
D. |
{1, 17} |
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Hint |
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9. |
Which method of solving quadratic equations should be used when only an estimated solution is necessary? |
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A. |
completing the square |
B. |
graphing |
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C. |
factoring |
D. |
quadratic formula |
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Hint |
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10. |
A guest on a talk show tends to receive many phone calls right after she is on the show, and then the calls become less frequent. This can be represented by the equation y = 30(0.92)d, where y is the number of phone calls after d days. How many phone calls should she expect after a week? |
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A. |
2 |
B. |
28 |
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C. |
17 |
D. |
23 |
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Hint |
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11. |
Given the coordinates (0, 3), (1, 11), (2, 19), (3, 27), would a graph of these points exhibit exponential behavior? |
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A. |
yes, exponential behavior only |
B. |
no, it would not display exponential or linear behavior |
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C. |
no, it would display linear behavior |
D. |
yes, exponential and linear behavior |
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Hint |
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12. |
Suppose Tyler sprayed around the house for ants. Which formula would be used to find the number of ants still alive after a certain time if the number of ants was changing exponentially? |
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A. |
exponential growth |
B. |
compound interest |
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C. |
cannot be determined from given information |
D. |
exponential decay |
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Hint |
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13. |
Find the next two terms of the geometric sequence 50, 40, 32, … |
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A. |
25.6, 20.48 |
B. |
28.5, 25.52 |
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C. |
24, 16 |
D. |
26, 22 |
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Hint |
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14. |
A formula in which the nth term of a sequence is expressed in terms of the previous term, as in  is called what? |
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A. |
recursive |
B. |
dependent |
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C. |
geometric |
D. |
exponential |
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Hint |
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